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38291040 = 2532526591
BaseRepresentation
bin1001001000010…
…0011001100000
32200001101102200
42102010121200
534300303130
63444413200
7643316454
oct222043140
980041380
1038291040
111a683697
12109a7200
137c18a28
14512a664
153565760
hex2484660

38291040 has 72 divisors (see below), whose sum is σ = 130673088. Its totient is φ = 10210560.

The previous prime is 38291039. The next prime is 38291051. The reversal of 38291040 is 4019283.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 38290995 and 38291013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11856 + ... + 14735.

It is an arithmetic number, because the mean of its divisors is an integer number (1814904).

Almost surely, 238291040 is an apocalyptic number.

38291040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38291040 is an abundant number, since it is smaller than the sum of its proper divisors (92382048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38291040 is a wasteful number, since it uses less digits than its factorization.

38291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26612 (or 26601 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38291040 is about 6187.9754362796. The cubic root of 38291040 is about 337.0536651381.

The spelling of 38291040 in words is "thirty-eight million, two hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 26591 53182 79773 106364 132955 159546 212728 239319 265910 319092 398865 425456 478638 531820 638184 797730 850912 957276 1063640 1196595 1276368 1595460 1914552 2127280 2393190 2552736 3190920 3829104 4254560 4786380 6381840 7658208 9572760 12763680 19145520 38291040